496345397760 has 400 divisors, whose sum is σ = 1825827967656. Its totient is φ = 128779517952.

The previous prime is 496345397749. The next prime is 496345397773. The reversal of 496345397760 is 67793543694.

496345397760 is a `hidden beast` number, since 4 + 9 + 6 + 34 + 539 + 7 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 464513128704 + 31832269056 = 681552^2 + 178416^2 .

It is a super-2 number, since 2×496345397760² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7639974 + ... + 7704666.

Almost surely, 2^496345397760 is an apocalyptic number.

496345397760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496345397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912913983828).

496345397760 is an abundant number, since it is smaller than the sum of its proper divisors (1329482569896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

496345397760 is an equidigital number, since it uses as much as digits as its factorization.

496345397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64765 (or 64740 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 496345397760 in words is "four hundred ninety-six billion, three hundred forty-five million, three hundred ninety-seven thousand, seven hundred sixty".